An investigation into the stability and accuracy of boundary approximations used in the numerical solution of hyperbolic initial-boundary value problems

A comparison of boundary approximations used in numerical solution of one-dimensional hyperbolic systems of partial differential equations is undertaken. Stability and accuracy studies of the boundary approximations are conducted for a variety of interior schemes. A new fourth order accurate finite-element scheme is proposed.A comparison of boundary approximations used in numerical solution of one-dimensional hyperbolic systems of partial differential equations is undertaken. Stability and accuracy studies of the boundary approximations are conducted for a variety of interior schemes. A new fourth order accurate finite-element scheme is proposed